In a Internee program at Airline Company, 45 percent of the internees are female and 55 percent male. 75 percent of the females are business students, and 55 percent of the males are business students. An internee is selected at random. What is the probability that the person selected is a female who is not a business student? Are gender and field of study, independent in this case? Why?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
In a Internee program at Airline Company, 45 percent of the internees are female and 55 percent male. 75 percent of the females are business students, and 55 percent of the males are business students.
- An internee is selected at random. What is the
probability that the person selected is a female who is not a business student? - Are gender and field of study, independent in this case? Why?
1)
Let '' represent the females, and '' represent the males. Similarly, '' represent the business students, and '' represent the non-business students.
According to the given information,
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